Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5472m |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-50528448 = -1 · 26 · 37 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 6 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21,-344] |
[a1,a2,a3,a4,a6] |
Generators |
[9:14:1] |
Generators of the group modulo torsion |
j |
-21952/1083 |
j-invariant |
L |
4.0299970109737 |
L(r)(E,1)/r! |
Ω |
0.87791664372179 |
Real period |
R |
2.2952048123209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5472g1 10944ca2 1824k1 103968ch1 |
Quadratic twists by: -4 8 -3 -19 |